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100308029957 is a prime number
BaseRepresentation
bin101110101101011010…
…0110001001000000101
3100120220122020212220122
41131122310301020011
53120412323424312
6114025245111325
710150504121012
oct1353264611005
9316818225818
10100308029957
11395a42a4613
1217534b58545
1395c758c4a5
144bd7d24709
1529212d2b72
hex175ad31205

100308029957 has 2 divisors, whose sum is σ = 100308029958. Its totient is φ = 100308029956.

The previous prime is 100308029951. The next prime is 100308029989. The reversal of 100308029957 is 759920803001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67283690881 + 33024339076 = 259391^2 + 181726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100308029957 - 214 = 100308013573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100308029951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50154014978 + 50154014979.

It is an arithmetic number, because the mean of its divisors is an integer number (50154014979).

Almost surely, 2100308029957 is an apocalyptic number.

It is an amenable number.

100308029957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100308029957 is an equidigital number, since it uses as much as digits as its factorization.

100308029957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 100308029957 in words is "one hundred billion, three hundred eight million, twenty-nine thousand, nine hundred fifty-seven".